Law of Detachment
If p then q. Given p is true. Conclude q is true.
In this problem, "if p then q" is "If a figure is a triangle, the sum of the figure's interior angles is 180."
Then you are told p is true. In this problem that is "<span>Figure ABC is a triangle."
You can now conclude that q is true.
In this problem, q is "</span><span>the sum of the interior angles of ABC is 180"
Answer: Option A.
</span>
You would find the answer by solving shxndbsinsnsndidndnid dbdoamsidbdhdbd
We can't see the whole question :/
Recall that
sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)
sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)
Adding these together gives
sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)
To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :
7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
Answer:
<2
Step-by-step explanation:
A vertical angles are "pairs of opposite angles made by two intersecting lines." We can see that the same two lines that form <5 form an angle opposite to it, <2.
